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Uniform Depth Channel Flow: Problem Solving01:18

Uniform Depth Channel Flow: Problem Solving

To calculate the flow rate for a trapezoidal channel, first, identify the bottom width, side slope, and flow depth of the channel. The cross-sectional area (A) corresponding to the depth of flow (y), channel bottom width (B), and side slope (θ) is determined by:Next, calculate the wetted perimeter, which includes the bottom width and the sloped side lengths in contact with the water. Using the values of the cross-sectional area and the wetted perimeter, determine the hydraulic radius by...
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Uniform depth channel flow keeps fluid depth consistent along channels such as irrigation canals. In natural channels, such as rivers, approximate uniform flow is often assumed. This condition occurs when the channel’s bottom slope matches the energy slope, balancing potential energy lost from gravity with head loss due to shear stress. This balance prevents depth changes along the channel length, resulting in a steady, uniform flow.Uniform flow in open channels with a constant cross-section...
Rapidly Varying Flow01:24

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Gradually Varying Flow01:29

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Quantitatively Measuring In situ Flows using a Self-Contained Underwater Velocimetry Apparatus (SCUVA)
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A new capture fraction method to map how pumpage affects surface water flow.

Stanley A Leake1, Howard W Reeves, Jesse E Dickinson

  • 1US Geological Survey, 520 N Park Ave, Suite 221, Tucson, AZ 85719, USA.

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Summary

Mapping groundwater capture is crucial for managing water resources. This study introduces new methods for simulating and visualizing theoretical capture zones, aiding in the understanding of surface and groundwater interactions.

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Area of Science:

  • Hydrogeology
  • Environmental Science
  • Water Resource Management

Background:

  • Groundwater pumping leads to water removal from storage and capture of surface water, impacting streams and wetlands.
  • Understanding the spatial distribution of capture is essential for managing coupled surface-groundwater systems.
  • Current methods often focus on temporal variations at specific points, limiting spatial insights.

Purpose of the Study:

  • To develop and present new methods for simulating and mapping groundwater capture.
  • To visualize the spatial distribution of theoretical capture zones for different times.
  • To provide practical examples of capture mapping in diverse hydrogeological settings.

Main Methods:

  • Utilizing three-dimensional groundwater flow models to simulate aquifer behavior.
  • Developing an automated procedure to repeatedly run models with varying well locations.
  • Incorporating head-dependent flow boundaries to represent surface water features and evapotranspiration.

Main Results:

  • Successful simulation and mapping of theoretical groundwater capture zones.
  • Demonstration of the spatial extent and patterns of capture under different conditions.
  • Case study examples from Arizona, Oregon, and Michigan illustrating the application of the methods.

Conclusions:

  • The presented methods offer a novel approach to understanding groundwater capture dynamics.
  • Spatial mapping of capture provides valuable insights for sustainable groundwater management and conservation efforts.
  • This technique enhances the ability to predict and mitigate the impacts of pumping on surface water resources.